GRE数学考试中的标准差
标准差也是一个几乎每次考试都要涉及到的一个知识点,虽然官方指南(OG)中有说明标准差的计算,但是目前来看,基本不会考察运算(可能是因为时间有限,而运算太麻烦),而主要是对标准差含义的考察。
JJ(后有参考过程及答案):
1. The standard deviation of four numbers a, b, c, d is M, then the standard deviation of which of the following MUST be M?(4.16考题)
A. a+1, b+1,c+1, d+1
B. 2a, 2b, 2c,2d
(参考北京新东方GRE强化讲义选项)
A.√(a^2) ...
B. a^2...
C. 2a...
D.a+2, b+2...
E. a+2, b-2...
2. Which number list has a greater standard deviation?(4.16)
Quantity A
6, 6, 7, 8, 10, 12
Quantity B
5, 5, 7, 8, 10, 14
3. Which number list has a greater standard deviation?(5.8)
Quantity A
a1, a2, a3, a4
Quantity B
a1+c, a2+c,a3+c, a4+c
4. If the standard deviation of a, b, c, d is 1, what is the standard deviation of a+1,b+1, c+1, d+1?(6.17)
5. There is a number list with a mean of 20, and standard deviation of o.(7.17)
Quantity A
range of the number list
Quantity B
0
参考答案:
1. A
2. B
3. C
4. 1
5. C
总结:
一组数同时加上一个数字或者减去一个数字,标准差不变
一组数同时乘以一个数字或者除以一个数字,标准差相应乘以或除以这个数字